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Question
Find the differential equation of system of concentric circles with centre (1, 2).
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Solution
Family of concentric circles with centre (1, 2) and radius ‘r’ is (x – 1)2 + (y – 2)2 = r2
Differentiating both sides w.r.t., x we get
`2(x - 1) + 2(y - 2) "dy"/"dx"` = 0
⇒ `(x - 1) + (y - 2) "dy"/"dx"` = 0
Which is the required equation.
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